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curve #4491

y² + xy = x³ − 4459x + 141870

a-invariants: [1, 0, 0, -4459, 141870]
c-invariants: [214033, -122896729]
rank (lower bound): ≥ 7
torsion subgroup: trivial
conductor (N): 3066393226693
discriminant (Δ): -3066393226693
Faltings height: 1.1093
naive height: 37.2537
primes of bad reduction: 157, 8231, 2372879
regulator: 2311.517359559567512879627344643991312950743296643133
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:31:18 UTC
last updated: 2026-10-17 10:31:18 UTC

Witness: 7 independent points log in to add more points →

(26, 196)
(13, 287)
(57, 243)
(47, -215)
(-14, 456)
(41, -189)
(55, 225)

Commentary

BASE records/rank_7.md#18 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:31:18 UTC · history

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